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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 466578x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 466578.x1 | 466578x1 | \([1, -1, 0, -782490, 987046164]\) | \(-4347/32\) | \(-390050420767684485984\) | \([]\) | \(21329280\) | \(2.6341\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578x do not have complex multiplication.Modular form 466578.2.a.x
sage: E.q_eigenform(10)